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The Construction of Certain Graphs

Published online by Cambridge University Press:  20 November 2018

P. Erdös  and
C. A. Rogers
P. Erdös
Affiliation:
University College London
C. A. Rogers
Affiliation:
University of Toronto
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A graph G is called complete if any two of its vertices are connected by an edge; a set of vertices of G are said to be independent if no two of them are connected by an edge. It follows from a well-known theorem of Ramsay (1) that for each pair of positive integers k, l there is an integer f(k, l), which we take to be minimal, such that every graph with f(k, l) vertices either contains a complete graph of k vertices or a set of l independent points.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 14 , 1962 , pp. 702 - 707
Copyright
Copyright © Canadian Mathematical Society 1962

References

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